Zoltán "Zoli" Tibor Balogh (December 7, 1953 – June 19, 2002) was a Hungarian-born

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

, specializing in set-theoretic topology. His father, Tibor Balogh, was also a mathematician. His best-known work concerned solutions to problems involving normality of

products Product may refer to: Business * Product (business), an item that can be offered to a market to satisfy the desire or need of a customer. * Product (project management), a deliverable or set of deliverables that contribute to a business solution ...

, most notably the first ZFC construction of a small ( cardinality continuum)

Dowker space In the mathematics, mathematical field of general topology, a Dowker space is a topological space that is normal space, T4 but not paracompact space, countably paracompact. They are named after Clifford Hugh Dowker. The non-trivial task of providin ...

. He also solved Nagami's problem ( normal + screenable does not imply

paracompact In mathematics, a paracompact space is a topological space in which every open cover has an open Cover (topology)#Refinement, refinement that is locally finite collection, locally finite. These spaces were introduced by . Every compact space is par ...

), and the second and third Morita conjectures about normality in products.Z. Balogh, Non-shrinking open covers and K. Morita's duality conjectures, '' Topology Appl.'', 115 (2001) 333-341

References

External links

Memorial with photographZoli -- Topology Proceedings 27 (2003)Author profile
in the database

zbMATH zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastru ...

* 20th-century Hungarian mathematicians 1953 births 2002 deaths Topologists {{Europe-mathematician-stub